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Characterization of feedback Nash equilibria for multi-channel systems via a set of non-fragile stabilizing state-feedback solutions and dissipativity inequalities
被引:0
|作者:
Getachew K. Befekadu
Vijay Gupta
Panos J. Antsaklis
机构:
[1] University of Notre Dame,Department of Electrical Engineering
来源:
Mathematics of Control, Signals, and Systems
|
2013年
/
25卷
关键词:
Dissipativity properties;
Game theory;
Multi-channel system;
Nash strategy;
Dilated linear matrix inequality;
Robust stabilization;
D O I:
暂无
中图分类号:
学科分类号:
摘要:
We consider the problem of state-feedback stabilization for a multi-channel system in a game-theoretic framework, where the class of admissible strategies for the players is induced from a solution set of the individual objective functions that are associated with certain dissipativity properties of the system. In such a framework, we characterize the feedback Nash equilibria via a set of non-fragile stabilizing state-feedback solutions corresponding to a family of perturbed multi-channel systems. Moreover, we show that the existence of a weak-optimal solution to a set of constrained dissipativity problems is a sufficient condition for the existence of a feedback Nash equilibrium, whereas the set of non-fragile stabilizing state-feedbacks solutions is described in terms of a set of dilated linear matrix inequalities.
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页码:311 / 326
页数:15
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